Master thesis in Mathematics

The purpose of the study is to quantify breast dose to reassure patients and staff that these understandings still apply. A combination of measurements and simulations were used to estimate absorbed breast dose. Gafchromic® XR-QA2 film was used to measure breast dose placed inside the RANDO® phantom in a series of controlled experiments. The RANDO® is an anthropomorphic phantom commonly used for dosimetry investigations. Gafchromic® XR QA2 film is a radiochromic film that changes colour when irradiated. Simulation is commonly used and readily available.

195p runthenight05 01-03-2023 9 3   Download

3D animation software is extensively used to create graphics for special effects sequences in live-action films, in animated feature film production and for the generation of computer games and virtual reality content. It is a commonly held view within the computer graphics community that 3D animation software is ―just another tool‖ for self-expression. This research questions that view by examining the inherent nature of the tool itself. In doing so, some of the philosophical assumptions embedded in the design of the new digital tool are revealed.

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The purpose of this study was to explore of the role of language switching in a group of Iranian bilingual students while they were involved in mathematical problem solving. Language switching has been viewed as a common practice in bilingual students in their classroom, particularly for mathematics learning. In bilingual students, using their first language to solve at least part of a problem may facilitate mathematical thinking and lead to a successful problem solving process.

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The objective of this thesis was to investigate the development of a micro-electromechanical system (MEMS) which can be implanted in the eye to provide continuous monitoring of glaucoma conditions. Current glaucoma monitoring involves taking laboratory based intra ocular pressure (IOP) measurements. The measurement of intraocular fluid flow and IOP parameters related to blockage formation in the eye require to be continuously monitored in Glaucoma.

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The main focus of this thesis is on the application of a model predictive control (MPC) method to devise an ABS for a BBW vehicle. Unlike the traditional ABS control algorithms which are based on a trial and error method, the MPC based ABS algorithm aims to utilizes the behaviour of the model to optimize the wheel slip dynamics subject to system constraints. Performance of the proposed wheel slip controller is validated through Software-in-the-Loop (SiL) and Hardware-inthe-Loop (HiL) simulation.

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In this thesis, the limitations of using existing LTE congestion mitigation mechanisms such as Discard Timer and RED have been explored. A different mechanism to analyse the effects of using control theory for congestion mitigation has been developed. Finally, congestion mitigation in LTE networks has been addresses using radio resource allocation techniques with non-cooperative game theory being an underlying mathematical framework.

118p runthenight04 02-02-2023 7 2   Download

In the first chapter, we introduce the concept of profinite groups and study their basic properties; We define cohomology groups and investigate their functorial properties; Then we introduce Galois descent and give a correspondence between equivalence classes of twisted forms and cohomology classes under some conditions which will be described explicitly.

125p viabigailjohnson 10-06-2022 11 3   Download

These formal definitions often seem far stronger than necessary for practical security — many cryptosystems used in practice do not satisfy the formal definitions. This includes typical ElGamal implementations. The attacks discussed in this paper suggest that it is worth striving to meet formal definitions of security in actual implementations.

35p haphuonglan2021 25-04-2021 42 6   Download

Research objective: The thesis is devoted to extend some results on the existence of fixed points in metric spaces to spaces with uniform structure. We also considered the existence of solutions of some classes of integral equations with unbounded deviation, which we can not apply fixed point theorems in metric spaces. The thesis can be a reference for under graduated students, master students and Ph.D students in analysis major in general, and the fixed point theory and applications in particular.

27p change02 06-05-2016 48 6   Download